Mean: also called the average. The mean is found by adding all the numbers in the set and then dividing that total by the number of values in the set Median: is the middle value when the numbers are in order from least and greatest. If there are two numbers left in the center, add the 2 numbers together and then divide that total by 2. Mode: the number that is listed most often Range: the difference in the largest and the smallest number. 1. Given the data set 18, 3, 22, 30, 15 Find the following: Mean_________ Median_________ Mode____________ Range____________

Answer:

The correct answer is -9.2h

Answer:

-9.2h i hope you can use it

Answer:

1) P(none are red) = 51.2%

2) P(third one is the first one that is yellow) = 12.8%

Step-by-step explanation:

We are given;

P(Yellow) = 20% = 0.2

P(red) = 20% = 0.2

P(Orange) = 10% = 0.1

P(Blue) = 10% = 0.1

P(green) = 10% = 0.1

P(brown) = 30% = 0.3

1) Probability that one is not red is;

P(one not red) = 1 - P(red)

P(one not red) = 1 - 0.2

P(one not red) = 0.8

Since 3 are selected, we will apply multiplication rule for independent events to get;

P(none are red) = 0.8 × 0.8 × 0.8

P(none are red) = 0.512

P(none are red) = 51.2%

2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;

P(third one is the first one that is yellow)

= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)

P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2

P(third one is the first one that is yellow) = 0.128

P(third one is the first one that is yellow) = 12.8%

Answer:

Hello I am here to help!!

Step-by-step explanation:

The answer is 47

It's written as 47! <3

Answer:

7.75+1.25x=31.50

Step-by-step explanation:

so in the end the answer is 19

Answer:

19 refills

Step-by-step explanation:

7.75+1.25x=31.50

Subtract the 7.75 on the other side..

1.25x=23.75

Then divide 1.25 from the 23.75

So, x which is the refills equal 19

Answer:

(-4,3)

Step-by-step explanation:

I used photo math

Answer:

10

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

Let the third side be x , then

x² + 6² = (2[tex]\sqrt{34}[/tex] )²

x² + 36 = 136 ( subtract 36 from both sides )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Answer:

70 degrees

Step-by-step explanation:

Answer:

Angle 1 is 70

Step-by-step explanation:

Because (angle 1 + 31=101) so 101-31= 70

Answer:

Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.

Step-by-step explanation:

First, we determine the lengths of sides [tex]AB[/tex], [tex]BC[/tex] and [tex]AC[/tex] by the Equation of the Line Segment, which is based on the Pythagorean Theorem:

Line segment AB

[tex]AB = \sqrt{(4-1)^{2}+ (4-1)^{2}}[/tex]

[tex]AB = 3\sqrt{2}[/tex]

Line segment BC

[tex]BC = \sqrt{(6-4)^{2}+(2-4)^{2}}[/tex]

[tex]BC = 2\sqrt{2}[/tex]

Line segment AC

[tex]AC = \sqrt{(6-1)^{2}+(2-1)^{2}}[/tex]

[tex]AC = \sqrt{26}[/tex]

And the angles are found by means of the Law of Cosine:, where acute angles exist when [tex]0 < \cos \theta < 1[/tex], whereas obtuse angles exist for [tex]-1 < \cos \theta < 0[/tex].

Angle A

[tex]BC^{2} = AB^{2} + AC^{2} - 2\cdot AB\cdot AC \cdot \cos A[/tex] (1)

[tex]\cos A = \frac{BC^{2}-AB^{2}-AC^{2}}{-2\cdot AB\cdot AC}[/tex]

[tex]\cos A = \frac{8-18-26}{-2\dot (3\sqrt{2})\cdot (\sqrt{26})}[/tex]

[tex]\cos A = 0.832[/tex]

Angle B

[tex]AC^{2} = AB^{2} + BC^{2} - 2\cdot AB\cdot BC\cdot \cos B[/tex] (2)

[tex]\cos B = \frac{AC^{2}-AB^{2}-BC^{2}}{-2\cdot AB\cdot BC}[/tex]

[tex]\cos B = \frac{26-18-8}{-2\cdot (3\sqrt{2})\cdot (2\sqrt{2})}[/tex]

[tex]\cos B = 0[/tex]

Angle C

[tex]AB^{2} = AC^{2}+BC^{2}-2\cdot AC\cdot BC\cdot \cos C[/tex] (3)

[tex]\cos C = \frac{AB^{2}-AC^{2}-BC^{2}}{-2\cdot AC\cdot BC}[/tex]

[tex]\cos C = \frac{18 -26-8}{-2\cdot (\sqrt{26})\cdot (2\sqrt{2})}[/tex]

[tex]\cos C = 0.555[/tex]

Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.

Answer:

The area of the shaded region is 21.45cm².

Answer:

yawwwwwwnnn......,....done

Answer and Step-by-step explanation:

The area formula for a Circle is:

A = [tex]\pi r^2[/tex]

Diameter is equal to the radius times 2.

So, divide the diameter to get the radius.

6 divided by 2 equals 3.

Now, plug it into the formula.

[tex]A = \pi (3)^{2}[/tex]

A = [tex]9\pi[/tex]

Plug this into your calculator by multiplying 9 by pi.

We get the answer to be 28.3 when rounded to the nearest tenth.

#teamtrees #PAW (Plant And Water)

Answer:

Solution given:

area of semi circle h=½πr²=½×π×5²=39.27in²

area of rectangle EFHI=l×b=6×3=18in²

area of rectangle CDFG=l×b=17×2=34in²

Total area: 39.27+18+34=91.27 square inches

Area of upper right rectangle

Area of top rectangle(square actually)

Area of bottom rectangle

Area of semicircle

Area of middle rectangle

Total

Answer:

a) 40 sides

b) 6840

c) 9 gegrees

Step-by-step explanation:

interior angle= (n-2)180

n

[tex] (n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\ [/tex]

so total number of sides is 40

b) Sum of interior angles= (n-2)×180

(40-2)×180

38×180

6840

c) Exterior angle = 360 ÷ n

360÷40 =9 degree

The possible rational roots are (a) ±3, (b) ±1, (e) ±5

The polynomial function is given as:

f(x) = 5x^2 - 3x + 3

Take the factors of the first term and the last term

5 = 1, 5

3 = 1, 3

The rational root is then calculated using:

Roots =±(Factors of 3)/(Factors of 5)

This gives

Roots =±(1, 3)/(1, 5)

Solve the expression

Roots = ±1, ±3/5, ±1/5, ±3

Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5

Read more about rational roots at:

https://brainly.com/question/17754398

#SPJ1

Answer:

Given  

F ( x ) = 3 x 2 + 1 , to find  F ( − 2 ) , we have to just put

x = − 2  in the formula for  F ( x ) .

therefore , F ( − 2 ) = 3 ( − 2 ) 2 + 1 = 3 ( 4 ) + 1 = 13  .

Answer:

24

Step-by-step explanation:

Answer:

4pi in^2

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π = pi

r = radius

h = height

Let me illustrate with an example

A cylinder has the following dimensions

r = radius = 20  

h = height  = 10

lateral area = 2 x π x 20 x 10 = 400π

If dimensions are reduced to one-fifth their original length, new dimensions are

r = radius = 20  x 1/5 = 4

h = height  = 10 x 1/5 = 2

New lateral area = 2 x 4 x 2 x π = 16π

change in lateral area = 400π / 16π = 25

If dimensions are reduced by 1/5, lateral area would reduce by 25

100 pi / 25 = 4

Answer:

The volume of prism A is the same as the volume of prism B.

Step-by-step explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

[tex]V_A = Length * Base * Height[/tex]

Where

[tex]Length \to a[/tex]

[tex]Base \to b[/tex]

[tex]Height \to h[/tex]

So:

[tex]V_A = abh[/tex]

For Prism B, we have:

[tex]Volume = Base\ Area * Height[/tex]

Where

[tex]Base\ Area = Length * Base[/tex]

and

[tex]Length = a[/tex]

[tex]Base = b[/tex]

So:

[tex]Base\ Area = a * b[/tex]

[tex]Base\ Area = a b[/tex]

The volume is then calculated as:

[tex]Volume = Base\ Area * Height[/tex]

[tex]V_B = ab * Height[/tex]

Where

[tex]Height \to h[/tex]

So:

[tex]V_B = ab * h[/tex]

[tex]V_B = abh[/tex]

By comparison:

[tex]V_A = V_B = abh[/tex]

Answer:

∠GFC and EFH

Hope this helps!

Answer:20%

Step-by-step explanation: multiply 40 x 50=2,000

2,000 divided by 100= 20%

41x - 164 = 271

x = 35

Answer:

x= 35

Step-by-step explanation:

1271 + 164 = 1435

1435/41 = 35

Answer:

50 inches

Step-by-step explanation:

30²+40² = c² (c²= diagnol)

900+ 1600 = √2500

√2500 = 50

This is also a pythagorean triple (30,40,50).

Answer: a

Step-by-step explanation:

15.00x13.00=195

3x15.00=45.00

15x10.00=150.00

150.00+45.00=195.00

Answer:

Step-by-step explanation:

Answer:

slope is (1,1) (0,3) just count number of squares, if there was an equation involved use y=mx+b

Step-by-step explanation:

Answer:

7

Step-by-step explanation

i did this

Answer: 8

Step-by-step explanation:

2 cups = 16

Half of the 16 is 8

Answer:

1/3

Step-by-step explanation:

Combine the xs

Answer:

[tex]\frac{1}{3} x + \frac{1}{2}[/tex]

Step-by-step explanation:

The following expression is equivalent to

[tex]\frac{1}{3} x + \frac{1}{2}[/tex]